Mathematics Academic Essay

Mathematics 1. An equation representing a function that extends from quadrant 2 to quadrant 4 is a. y = x 3 b. y = 2x 5 c. y = 2x 6 d. y = 5x 4 2. The degree of the polynomial function is a. 3 b. 4 c. 5 d. 6 3. The function y = 2x 2 (x 1)(x 2)2 changes sign at a. x = 1 b. x = 0 c. x = 1 d. it doesnt change sign 4. Which of the following is a polynomial function? a. y = sin x b. y = cos x c. y = 3x d. y = x 3 5. Which of the following is an odd function? a. y = 2x 3 + x 2 b. y = 2x 4 + 11 c. y = 2x 4 x d. y = x 3 + x 5 6. The graph of the function y = x 4 is transformed to the graph of the function y = [2(x + 3)]4 + 1 by a. Vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. Horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up c. Vertical compression by a factor of , a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up d. Horizontal compression by a factor of , a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 7. If 2x 3 9x 2 + 4x 7 is divided by x 3 to give a quotient of 2x 2 3x 5 and a remainder of 22 , then which of the following is true? a. 2x 3 9x 2 + 4x 7 = (x 3)(2x 2 3x 5) + 22 b. 2x 3 9x 2 + 4x 7 = (x 3)(2x 2 3x 5) 22 c. (x 3)(2x 2 3x 5) = 22 d. (x 3)(2x 2 3x 5) = 22 8. What is the maximum number of real distinct roots that a quartic equation can have? a. infinitely many b. 4 c. 2 d. none of the above 9. Which of the reciprocal functions has a vertical asymptote at ? a. b. c. d. 10. Which of the following is true? a. has two vertical asymptotes. b. is always negative. c. decreases over its entire domain. d. never increases. Page 2 of 6 Show all work from this point forward for full marks: 11. Solve the following: ??? & ??? a) b) 12. Determine the average rate of change of the function on the interval . ???? Part B Thinking and Investigation [TI 20 marks]. 1. Determine the approximate slope of the tangent to the curve at , to one decimal place. ???? 2. A stunt pilot is testing a new plane. The equation that models his height over time is , where x is his the time in seconds and f(x) is his height in metres. Determine when the pilot is below 450 metres.????? Page 3 of 6 3. The polynomial px 3 x 2 + qx 2 has no remainder when divided by (x 1) and a remainder of 18 when divided by (x + 2). What are the values of p and q? ?????? 4. Solve the following inequality using an algebraic method. ?? ??? Part C Communication [COMM 20 marks] ***Fully label your graphs for full marks!*** 1. Determine an equation for the graph of the polynomial function shown. ?? 2. Determine an equation in factored form for a polynomial function with zeros at 1 (order 2), 0 and and passes through the point (4, 5).??? 3. Write a quadratic inequality with the solution: x ? ( ) [<- this is the same as ] ??? 4. Consider the function. a) Determine the key features of the function: i) domain and range?? ii) intercepts?? iii) equations of any asymptotes ?? iv) intervals where the function is increasing and intervals where the function is decreasing?? b) Sketch a graph of the function. ? Part D Application [APP 12 marks] 1. Two resistors a and b are connected in parallel. The total resistance R in such a circuit is found by the formula R . If R ohms and b is one more ohm than a, find the number of ohms in a and b. (answers should be positive). ? 2. Factor fully (show your work). ? & ? a) b) 3. The area of a triangular-shaped wall is ) m . The base of the wall is (5x + 7) m long. How tall is the wall? ? PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more